Global Dynamics in Elliptical Galaxies

Astronomy and Astrophysics – Astronomy

Scientific paper

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Galaxies: Ism, Radio Continuum: Galaxies

Scientific paper

In order to study global dynamics in non-integrable triaxial systems, we take advantage of a new tool, the ``Mean Exponential Growth factor of Nearby Orbits" (MEGNO), that proves to be efficient to investigate both regular and stochastic components of phase space. The MEGNO is not only useful to locate stable and unstable orbits, but also provides a measure of hyperbolicity in chaotic domains that coincides with that given by the Lyapunov Characteristic Number (LCN). Previously this technique has been applied to simple models (Cincotta et al., 2000), with the exception of extrasolar planetary systems (Gozdziewski et al., 2001). Here we will apply it to a more realistic system, a perturbed 3D Stäkel potential, to illustrate some of its important properties.

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